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31211143440 = 2435196844549
BaseRepresentation
bin11101000100010101…
…000100000100010000
32222120011021100211120
4131010111010010100
51002410023042230
622201015042240
72153304225201
oct350425040420
988504240746
1031211143440
1112266971024
126070670380
132c3528b719
1417212395a8
15c2a116310
hex744544110

31211143440 has 80 divisors (see below), whose sum is σ = 101846904000. Its totient is φ = 7884919296.

The previous prime is 31211143433. The next prime is 31211143463. The reversal of 31211143440 is 4434111213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31211143440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417715 + ... + 3426834.

It is an arithmetic number, because the mean of its divisors is an integer number (1273086300).

Almost surely, 231211143440 is an apocalyptic number.

31211143440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31211143440 is an abundant number, since it is smaller than the sum of its proper divisors (70635760560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31211143440 is a wasteful number, since it uses less digits than its factorization.

31211143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844584 (or 6844578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31211143440 its reverse (4434111213), we get a palindrome (35645254653).

The spelling of 31211143440 in words is "thirty-one billion, two hundred eleven million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 6844549 13689098 20533647 27378196 34222745 41067294 54756392 68445490 82134588 102668235 109512784 130046431 136890980 164269176 205336470 260092862 273781960 328538352 390139293 410672940 520185724 547563920 650232155 780278586 821345880 1040371448 1300464310 1560557172 1642691760 1950696465 2080742896 2600928620 3121114344 3901392930 5201857240 6242228688 7802785860 10403714480 15605571720 31211143440